Search results for probability

72 votes
8 answers
3
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is$3...
33 votes
4 answers
5
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
61 votes
6 answers
6
Consider an undirected random graph of eight vertices. The probability that there is an edge between a pair of vertices is $\dfrac{1}{2}.$ What is the expected number of ...
48 votes
5 answers
10
62 votes
11 answers
11
Consider a hash function that distributes keys uniformly. The hash table size is $20$. After hashing of how many keys will the probability that any new key hashed collide...
14 votes
3 answers
15
A Hash table has space for 100 records. Then the probability of collision before the table is 10% full is?A 0.45B 0.5C 0.3D 0.34 (approximately)
61 votes
3 answers
16
Suppose you break a stick of unit length at a point chosen uniformly at random. Then the expected length of the shorter stick is ________ .
56 votes
3 answers
18
What is the probability that divisor of $10^{99}$ is a multiple of $10^{96}$?$\left(\dfrac{1}{625}\right)$$\left(\dfrac{4}{625}\right)$$\left(\dfrac{12}{625}\right)$$\lef...
15 votes
5 answers
20